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maw [93]
3 years ago
13

The diagram shows a right-angled triangle.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

Answer:

h = 9.87 cm

Step-by-step explanation:

Given that,

Base, b = 8 cm

Height = h

Angle, \theta=51^{\circ}

We need to find the value of h. We can use trigonometry to find h.

\tan\theta=\dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(51)=\dfrac{h}{8}\\\\h=\tan(51)\times 8\\\\h=9.87\ cm

So, the height of the triangle is 9.87 cm.

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Jose bought a plant. The height, h, of the plant is 2 feet. He noticed that every month, m,
Kipish [7]

Answer:

the answer is h=0.5m+2 I think

6 0
2 years ago
For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of
Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is (-1)^{k+1}(\frac{1}{2^{k}}).

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as (-1)^{k+1}(\frac{1}{2^{k}}).

where k is from 1 to 10.

By the given expression sequence will be \frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......

In this sequence first term "a" = \frac{1}{2}

and common ratio in each successive term to the previous term is 'r' = \frac{\frac{(-1)}{4}}{\frac{1}{2} }

r = -\frac{1}{2}

Since the sequence is infinite and the formula to calculate the sum is represented by

S=\frac{a}{1-r} [Here r is less than 1]

S=\frac{\frac{1}{2} }{1+\frac{1}{2}}

S=\frac{\frac{1}{2}}{\frac{3}{2} }

S = \frac{1}{3}

Now we are sure that the sum of infinite terms is \frac{1}{3}.

Therefore, sum of 10 terms will not exceed \frac{1}{3}

Now sum of first two terms = \frac{1}{2}-\frac{1}{4}=\frac{1}{4}

Now we are sure that sum of first 10 terms lie between \frac{1}{4} and \frac{1}{3}

Since \frac{1}{2}>\frac{1}{3}

Therefore, Sum of first 10 terms will lie between \frac{1}{4} and \frac{1}{2}.

Option D will be the answer.

3 0
3 years ago
Help with number 4 please?
LekaFEV [45]
10 because 7 x 3 = 21 and 7 + 3 = 10 so your answer is 10
5 0
3 years ago
Read 2 more answers
One metre of ribbon costs $0.45. If Tabitha buys 225 metres of ribbon, how much will she have to pay? (Please help me! I have to
tatuchka [14]

Answer: $101.25

Step-by-step explanation:

Since we are given the information that one metre of ribbon costs $0.45 and that Tabitha buys 225 metres of ribbon, the amount that she will have to pay will be gotten by multiplying the cost of one meter of ribbon by the total meters that she bought. This will be:

= $0.45 × 225

= $101.25

Therefore, the cost is $101.25

6 0
3 years ago
I need help please?!!!
mina [271]

Answer:D

Step-by-step explanation:

There are 3 even numbers (2,4,6) and 3 odd numbers(1,3,5) on a six-sided die.

Therefore,the probability to get an even or odd number is the same (50%).

4 0
3 years ago
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